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[
{
"slide": 1,
"fragments": [
{
"fragment_index": -1,
"text_description": "Uniform E-field & V\nApplications\nSource: CBSE Sample Paper 2024-25",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "\\[\\Delta V = -\\vec E \\cdot \\Delta \\vec r\\]",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Variable Definitions\n\\( \\Delta V \\)\nchange in electric potential\n\\( \\vec E \\)\nuniform electric field\n\\( \\Delta \\vec r \\)\ndisplacement between points",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "CBSE SQP Q1\nUniform field \\( \\vec E = E\\hat i \\). Compare potentials at A(0,0), B(1 cm,0), C(0,1 cm).",
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},
{
"fragment_index": 4,
"text_description": "Key Idea\nPotential drops along field lines, unchanged along equipotentials.",
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},
{
"fragment_index": 5,
"text_description": "Answer\n\\(V_A > V_B\\) and \\(V_C = V_A\\).",
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},
{
"fragment_index": 6,
"text_description": "Quick Check\nš/š Does \\(V_C = V_A\\)?",
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}
]
},
{
"slide": 2,
"fragments": [
{
"fragment_index": -1,
"text_description": "Connected Spheres\nCBSE SQP Q2: Equal potential ā compare surface fields.\nPro Tip:\nEqual potential does not imply equal fieldāthe field scales inversely with radius here.",
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},
{
"fragment_index": 1,
"text_description": "1\nCharge Redistribution\nWire joins two distant metal spheres; charges flow until both sit at the same potential \\(V\\).",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "2\nEqual-Potential Condition\n\\(kQ_1/r_1 = kQ_2/r_2\\) Ā āĀ \\(Q_1/Q_2 = r_1/r_2\\).",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "3\nSurface Field Ratio\nWith \\(E = kQ/r^{2}\\), we get \\(E_1/E_2 = r_2/r_1\\). The smaller sphere feels the stronger field (Option B).",
"image_description": ""
}
]
},
{
"slide": 3,
"fragments": [
{
"fragment_index": -1,
"text_description": "Field of a Thick Wire\n\\[\n B(r)=\n \\begin{cases}\n \\dfrac{\\mu_{0} I r}{2\\pi a^{2}}, & r\\le a \\\\[6pt]\n \\dfrac{\\mu_{0} I}{2\\pi r}, & r\\ge a\n \\end{cases}\n \\]\nVariable Definitions\nApplications\nSource: CBSE Sample Question Paper 2024-25 (Q3)",
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},
{
"fragment_index": 1,
"text_description": "\\(I\\)\nSteady current in wire",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "\\(a\\)\nWire radius",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "\\(r\\)\nDistance from centre",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "\\( \\mu_{0} \\)\nPermeability of free space",
"image_description": ""
},
{
"fragment_index": 5,
"text_description": "Inside vsĀ Outside\nInside, \\(B\\propto r\\); cross the surface and \\(B\\propto 1/r\\). Ampereās law applies in both zones.",
"image_description": ""
},
{
"fragment_index": 6,
"text_description": "CBSE Q3Ā Prompt\nFind \\( |B| \\) at \\(1.5a\\) ( \\(a/2\\) above surface ) and at \\(0.5a\\) (inside). Give the ratio.",
"image_description": ""
},
{
"fragment_index": 7,
"text_description": "Answer\n\\(B_{\\text{out}} = \\mu_{0}I/3\\pi a\\), \\(B_{\\text{in}} = \\mu_{0}I/4\\pi a\\) ā ratio \\(4:3\\).",
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},
{
"fragment_index": 8,
"text_description": "QuickĀ Quiz\nVote: 1 : 1, 4 : 3, or 3 : 4 ā which is correct?",
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}
]
},
{
"slide": 4,
"fragments": [
{
"fragment_index": -1,
"text_description": "Diffraction Happens\nRainbow diffraction on a CD\nAll waves can bend around edges",
"image_description": "https://sparkl-vector-images.s3.ap-south-1.amazonaws.com/presentation_images/asset.sparkl.me/pb/presentation/2020/images/c3f55b0202d36bc76214f31950cea9ee.png"
},
{
"fragment_index": 1,
"text_description": "Your voice curving round a corner and the rainbow sheen on a CD are both produced by diffraction.",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "The effect appears whenever the size of an opening or obstacle matches the wavelength.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Key Points:",
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},
{
"fragment_index": 4,
"text_description": "Diffraction is a universal property of wavesāsound, light, ultrasonic, all.",
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},
{
"fragment_index": 5,
"text_description": "CBSE SQP 2024-25 Q4 answer: Option D ā sound waves as well as light waves.",
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}
]
},
{
"slide": 5,
"fragments": [
{
"fragment_index": -1,
"text_description": "Things to Remember\nRecall these must-know formulas & patterns for Q1āQ4",
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},
{
"fragment_index": 1,
"text_description": "Q1 Uniform E Field\nPotential drops linearly: \\( \\Delta V = -E\\,\\Delta x \\).",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Q2 Connected Conductors\nAt equilibrium \\( V_1 = V_2 \\); surface field varies as \\( E \\propto 1/r \\).",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Q3 Thick Wire Current\nMagnetic field: inside \\( B \\propto r \\); outside \\( B \\propto 1/r \\).",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "Q4 Diffraction Rule\nNoticeable when aperture ā wavelengthātrue for all waves.",
"image_description": ""
}
]
}
]